Order structure and topological properties of the set of multiple t-values

TL;DR

This paper investigates the topological and order-theoretic properties of the set of multiple t-values, showing it is well-ordered under the usual topology of real numbers.

Contribution

It provides a detailed analysis of the derived sets of multiple t-values and establishes their well-ordered structure under the standard topology.

Findings

The set of multiple t-values has a well-ordered structure.

The derived sets of multiple t-values are explicitly computed.

The set is well-ordered under the usual topology.

Abstract

In this paper, we compute the iterated derived sets of the set of multiple t-values under the usual topology of R. Our results imply that the set of multiple t-values, ordered by >=, is a well-ordered set.